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We analyze a family of methods for statistical causal inference from sample under the so-called Additive Noise Model. While most work on the subject has concentrated on establishing the soundness of the Additive Noise Model, the statistical…

机器学习 · 计算机科学 2014-02-06 Samory Kpotufe , Eleni Sgouritsa , Dominik Janzing , Bernhard Schölkopf

This paper develops a general causal inference method for treatment effects models with noisily measured confounders. The key feature is that a large set of noisy measurements are linked with the underlying latent confounders through an…

计量经济学 · 经济学 2021-10-14 Yingjie Feng

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal discovery can help inferring properties of the `unobserved joint distributions'…

机器学习 · 统计学 2023-05-12 Dominik Janzing , Philipp M. Faller , Leena Chennuru Vankadara

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

统计理论 · 数学 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Estimating causal effects under interference, where the stable unit treatment value assumption is violated, is critical in fields such as regional and public economics. Much of the existing research on causal inference under interference…

统计方法学 · 统计学 2026-02-03 Akihiro Sato , Shonosuke Sugasawa

Causal intervention is an essential tool in causal inference. It is axiomatized under the rules of do-calculus in the case of structure causal models. We provide simple axiomatizations for families of probability distributions to be…

统计理论 · 数学 2023-11-15 Kayvan Sadeghi , Terry Soo

Causal discovery in time series is increasingly performed using nonlinear machine-learning models, yet the resulting causal relationships are almost always summarized by scalar edge scores. We argue that this practice obscures the true…

机器学习 · 计算机科学 2026-05-29 Valentina V. Kuskova , Dmitry Zaytsev , Michael Coppedge

We consider the problem of estimating causal DAG models from a mix of observational and interventional data, when the intervention targets are partially or completely unknown. This problem is highly relevant for example in genomics, since…

统计方法学 · 统计学 2020-06-23 Chandler Squires , Yuhao Wang , Caroline Uhler

Recent work has shown promising results in causal discovery by leveraging interventional data with gradient-based methods, even when the intervened variables are unknown. However, previous work assumes that the correspondence between…

机器学习 · 计算机科学 2022-07-12 Gonçalo R. A. Faria , André F. T. Martins , Mário A. T. Figueiredo

We assume that we have observational data generated from an unknown underlying directed acyclic graph (DAG) model. A DAG is typically not identifiable from observational data, but it is possible to consistently estimate the equivalence…

统计方法学 · 统计学 2009-09-02 Marloes H. Maathuis , Markus Kalisch , Peter Bühlmann

Standard diffusion models are flexible estimators of complex distributions, but they do not encode causal structures and therefore do not by themselves support causal analysis. We propose a causality-encoded diffusion framework that…

统计方法学 · 统计学 2026-04-24 Li Chen , Xiaotong Shen , Wei Pan

Directed acyclic graphs (DAGs) with hidden variables are often used to characterize causal relations between variables in a system. When some variables are unobserved, DAGs imply a notoriously complicated set of constraints on the…

机器学习 · 统计学 2023-02-23 Noam Finkelstein , Beata Zjawin , Elie Wolfe , Ilya Shpitser , Robert W. Spekkens

The fundamental challenge in causal induction is to infer the underlying graph structure given observational and/or interventional data. Most existing causal induction algorithms operate by generating candidate graphs and evaluating them…

Understanding and quantifying node importance is a fundamental problem in network science and engineering, underpinning a wide range of applications such as influence maximization, social recommendation, and network dismantling. Prior…

社会与信息网络 · 计算机科学 2026-02-17 Jiahui Gao , Kuang Zhou , Yuchen Zhu , Keyu Wu

In this work, we are interested in structure learning for a set of spatially distributed dynamical systems, where individual subsystems are coupled via latent variables and observed through a filter. We represent this model as a directed…

人工智能 · 计算机科学 2016-11-03 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch

Causal discovery methods are intrinsically constrained by the set of assumptions needed to ensure structure identifiability. Moreover additional restrictions are often imposed in order to simplify the inference task: this is the case for…

机器学习 · 计算机科学 2023-04-07 Francesco Montagna , Nicoletta Noceti , Lorenzo Rosasco , Kun Zhang , Francesco Locatello

We explore the connection between deep learning and information theory through the paradigm of diffusion models. A diffusion model converts noise into structured data by reinstating, imperfectly, information that is erased when data was…

机器学习 · 计算机科学 2025-11-04 Akhil Premkumar

New biological assays like Perturb-seq link highly parallel CRISPR interventions to a high-dimensional transcriptomic readout, providing insight into gene regulatory networks. Causal gene regulatory networks can be represented by directed…

机器学习 · 统计学 2024-02-22 Albert Xue , Jingyou Rao , Sriram Sankararaman , Harold Pimentel

Causal discovery is a fundamental problem with applications spanning various areas in science and engineering. It is well understood that solely using observational data, one can only orient the causal graph up to its Markov equivalence…

机器学习 · 计算机科学 2024-10-29 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

Establishing causal relations between random variables from observational data is perhaps the most important challenge in today's \blue{science}. In remote sensing and geosciences this is of special relevance to better understand the…

统计方法学 · 统计学 2020-12-10 Adrián Pérez-Suay , Gustau Camps-Valls